How to Find GCF of 6090/680, 1979/8842?

GCF of 6090/680, 1979/8842

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6090/680, 1979/8842 i.e 1/3006280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6090/680, 1979/8842.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6090/680,1979/8842?

Given fractions are 6090/680,1979/8842

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6090/680,1979/8842, numerators are 6090,1979

Denominators are 680,8842

The GCF of 6090,1979 is 1 .

LCM of 680,8842 is 3006280.

The greatest common factor of 6090/680,1979/8842 = [GCF of 6090,1979]/[LCM of 680,8842]= 1/3006280

Therefore, the GCF of 6090/680,1979/8842 is 1/3006280.

Greatest Common Factor of 6090,1979

To find the highest common factor of 6090,1979, we have to find the factors of both numbers and list the highest common factor.

The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090

The factors of 1979 are 1, 1979

The HCF of 6090,1979 is 1.

Lets's calculate GCF of 6090,1979

Greatest Common Factor (GCF) of 6090,1979 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6090,1979 By Matching Biggest Common Factor Method

Now, list down the factors of 6090

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Now, list down the factors of 1979

1,1979

Greatest Common Factor

We found the factors 6090,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 6090,1979 is 1.

Lets's calculate LCM of 680,8842

Lowest Common Multiple of 680,8842 using Common Division

2	680, 8842
	340, 4421

∴ So the LCM of the given numbers is 2 x 340 x 4421 = 3006280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3006280

Therefore, the GCF of Fractions 6090/680,1979/8842 is 1/3006280

Least Common Multiple of 680,8842 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 680,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,8842) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(680,8842) x common factors =2 x 1 = 2

LCM(680,8842) = ( 680 × 8842 ) / 2

LCM(680,8842) = 6012560 / 2

LCM(680,8842) = 3006280

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FAQs on GCF of Fractions of 6090/680, 1979/8842

1. What is the HCF of 6090,1979?

The HCF of 6090,1979 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6090/680, 1979/8842?

Answer: GCF of Numerators as per given numbers 6090/680, 1979/8842 is

GCF of Numerators i.e. for 6090,1979 is 1

LCM of denominators i.e. for 680,8842 is 3006280.

Thus, GCF of Fractions is 1/3006280.Finally, GCF of Fractions for 6090/680, 1979/8842 is 1/3006280.